Find the value of y. Round to the nearest tenths place.

Mathematics

2 answers:

Usimov [2.4K]3 years ago

6 0

Are there any options on the test or homework

ale4655 [162]3 years ago

4 0

Answer:

y = 12

Step-by-step explanation:

Look at the left triangle first. Opposite the 30 degree angle (not shown) is the shortest side, which (according to the sine function) is half the hypotenuse, or 2√3. Then (2√3)² + x² = (4√3)², or

4(3) + x² = 16(3). Thus, x² = 16(3) - 4(3) = 12(3) = 36, and so x = 6. Again using the sine function, we find that x = 2y = 6, so, using the sine function, we find that sin 30° = 6/y. Thus y = 6 / (2/1) = 12 = y

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